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Finding the Third Proportional to 218,381 and 463,004

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Solution

The third proportional to 218,381 and 463,004 is: 981,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,381 : 463,004 = 463,004 : x
  2. Step 2: Convert to fraction form
    218,381/463,004 = 463,004/x
  3. Step 3: Cross multiply
    218,381x = 463,004 × 463,004
  4. Step 4: Simplify right side
    218,381x = 214,372,704,016
  5. Step 5: Solve for x
    x = 214,372,704,016/218,381
  6. Step 6: Final answer
    x = 981,645.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.